On the uniform consistency of frequency polygons for \(\psi\)-mixing samples

DOI10.1016/j.jkss.2014.07.001zbMath1343.60029OpenAlexW2047054570MaRDI QIDQ2355258

Xin Liang, Guo-Dong Xing, Shan-chao Yang

Publication date: 21 July 2015

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2014.07.001

zbMATH Keywords

frequency polygonsuniform strong consistencyuniform weak consistency\(\psi\)-mixing samples

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (6)

Asymptotic behaviour of frequency polygons under φ-mixing samples ⋮ On some inequalities for ψ-mixing sequences and its applications in conditional value-at-risk estimate ⋮ Strong uniform consistency of the frequency polygon density estimator for stable non-anticipative stochastic processes ⋮ Uniformly strong consistency and the rates of asymptotic normality for the edge frequency polygons ⋮ On the uniform consistency of frequency polygons for ρ^--mixing samples ⋮ On the Berry-Esséen bound of frequency polygons for \(\phi\)-mixing samples

Cites Work

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• Frequency polygons for continuous random fields
• Asymptotic normality of frequency polygons for random fields
• Frequency polygons for weakly dependent processes
• Frequency Polygons: Theory and Application
• Moment inequalities for mixing sequences of random variables
• On the strong law of large numbers for a class of stochastic processes

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